Accession Number:

AD0419997

Title:

BOLTZMANN EQUATION FOR HARD SPHERES IN DIFFERENTIAL FORM,

Descriptive Note:

Corporate Author:

GENERAL ELECTRIC CO PHILADELPHIA PA MISSILE AND SPACE DIV

Personal Author(s):

• Wachman,M.

Report Date:

1963-10-01

Pagination or Media Count:

13.0

Abstract:

It is shown that it is possible to recast the Boltzmann Integro-differential equation for hard spheres into a pair of linear partial differential equations of first and eighth orders respectively. The eighth order equation is shown to be the nine-dimensional Laplacian four times repeated. The first order equation is the familiar ddt f with a different forcing function on the right hand side. Author

Descriptors:

• (*DIFFERENTIAL EQUATIONS
• MOLECULES)
• (*INTEGRALS
• DIFFERENTIAL EQUATIONS)
• PARTIAL DIFFERENTIAL EQUATIONS
• OPERATORS (MATHEMATICS)
• SPECIAL FUNCTIONS (MATHEMATICAL)
• VECTOR ANALYSIS
• PARTICLES
• FUNCTIONS(MATHEMATICS)
• SEQUENCES(MATHEMATICS)

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE